Comparison of spatially and temporally resolved energy system models with a focus on Germany's future power supply

Comparison of spatially and temporally resolved energy system models with a focus on Germany's future power supply

Applied Energy 255 (2019) 113889 Contents lists available at ScienceDirect Applied Energy journal homepage: www.elsevier.com/locate/apenergy Compar...

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Applied Energy 255 (2019) 113889

Contents lists available at ScienceDirect

Applied Energy journal homepage: www.elsevier.com/locate/apenergy

Comparison of spatially and temporally resolved energy system models with a focus on Germany's future power supply

T

Hans Christian Gilsa, , Thomas Preggera, Franziska Flachsbarthb, Mareike Jentschc, Constantin Diersteind ⁎

a

Department of Energy Systems Analysis, Institute of Engineering Thermodynamics, German Aerospace Center (DLR), Pfaffenwaldring 38-40, 70569 Stuttgart, Germany Öko-Institut e.V., Energy & Climate Division, Merzhauser Str. 173, 79111 Freiburg, Germany c Fraunhofer IEE – Institute for Energy Economics and Energy System Technology, Königstor 59, 34119 Kassel, Germany d Technical University Dresden, Faculty of Business and Economics, Chair of Energy Economics, Münchner Platz 3, 01069 Dresden, Germany b

HIGHLIGHTS

approach of systematic model comparison with harmonized input data. • New learnt from a model experiment with four high resolution power system models. • Lessons of impacts of different technology modelling approaches on the results. • Identification results of three scenarios for the German power supply system in 2050. • Detailed • New quantitative results for the future use of different load balancing options. ARTICLE INFO

ABSTRACT

Keywords: Energy systems analysis Model comparison Renewable energy Energy scenario Sector coupling Energy systems modelling

Energy system models usually have different data structures and mathematical approaches and therefore arrive at different results that are mostly not directly comparable. This aspect has a high relevance with regard to model-based scenario analyses for future energy systems. In addition, the variable nature of wind and solar power and their intended further expansion raise new questions of increasing complexity, such as the future role of different load balancing options. In this context the present contribution adds a new approach of systematic model comparison considering energy system models with a regional and hourly resolution. We carried out a model experiment under conditions that allow for a transparent comparison of modelling approaches and thus link differences in the results with properties of the models. The analysis includes different scenarios for a mostly renewable power system with sector coupling for Germany. The quantitative results reveal the impact of different technology modelling approaches when using input data that are as identical as possible. In addition the analysis provides new conclusions for the possible role of different load balancing options and the robustness of the underlying modelling. Furthermore, it provides insight into the lessons learnt from designing an energy system model experiment.

1. Introduction The German energy transition aims for a strong expansion of renewable energies (RE), especially for electricity generation. Due to the variable nature of wind and solar power the further development of energy infrastructures is accompanied by questions of increasing complexity. Against this background, a large number of model-based scenario analyses of the energy system have been developed in recent years. These are based on a multitude of different models tailored to



different focal points, including the cross-sectoral modelling of system transformation pathways [1], multi-scenario analysis for the power sector [2], the economics of RE expansion [3], the implementation of power-to-heat [4], and the phase-out of coal power generation [5]. These and other energy system models rely on different data structures and mathematical approaches and arrive at different results that are mostly not directly comparable. This has been addressed in previous publications providing an overview of existing models with a particular focus on national and international energy policy [6], the identification

Corresponding author. E-mail address: [email protected] (H.C. Gils).

https://doi.org/10.1016/j.apenergy.2019.113889 Received 18 April 2019; Received in revised form 6 September 2019; Accepted 7 September 2019 Available online 14 September 2019 0306-2619/ © 2019 Elsevier Ltd. All rights reserved.

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of modelling trends [7], renewable energy integration [8] and technical model characteristics [9]. In order to be able to discuss and classify the model results in a qualified manner, it is becoming increasingly important to present the models transparently and to consider the results of the model analyses carefully [10]. The project ‘Model experiments and comparison for simulation of pathways to a fully renewable energy supply’ (RegMex) started at this point. In the frame of this project the authors carried out so called ‘model experiments’ under conditions that allow transparent comparison of the modelling approaches and thus link differences in the results of the model calculations with properties of the models. A jointly defined and parameterized case study examines the German energy system in 2050 in the European context and under the assumption of a very high share of variable renewable energies (VRE). The results can lead to different conclusions. On the one hand, sensitive parameters and effects of different model properties can be examined and help to deeper understanding of the modelling approaches, their weaknesses, and strengths. On the other hand, comparing ‘consistent’ model results can improve the robustness of scenario-based calculations and conclusions for the further development of the energy system transformation.

the robustness of model results through model comparisons. Different model formulations were investigated with a systematic approach using a common data set for a European region and thus statements were made on the accuracy and simulation time [21]. The work was carried out with an open source model in which the number of variables was varied by different types of clustering. Another recent paper presented a model comparison for a future electricity system of the USA with high RE supply share [22]. The aim of this work is to use “both harmonized and native input assumptions to isolate the impact that model structures might have on deployment outcomes”. The focus is on the endogenously calculated deployment rate for wind and solar energy as a function of various influencing factors and different model representations. So far, no model experiments have been presented for Germany and Europe comparing state-of-the-art power system models with focus on sector coupling, spatial and hourly load balancing, and the usage of a harmonised input data set. Sector coupling here refers to the enhanced linkage of power, heating, transport and industry sectors through electric heating and driving as well as the production of synthetic gases and fuels. These options for direct and indirect electrification are widely seen as keys for a deep ‘decarbonisation’ of the energy system and the large-scale integration of VRE power generation. The available studies for Germany are focused on the development in the near future, and do not evaluate the balancing needs and system operation at high VRE supply shares. Given that the input data of past energy system model experiments has not or only to a limited extend been harmonized, conclusions regarding modelling details could not be drawn.

1.1. State of research Model comparisons in energy systems analysis look back on a long history. In addition to model experiments that approach specific questions using different models from different research institutions, the establishment of platforms or forums created an environment for practical exchange of experience between modellers. For example, the “Energy Modeling Forum (EMF)” at Stanford University has existed in the USA since 1976, from which 35 model experiments have now been performed, with topics including electric load forecasting, macroeconomic and climate change impacts, electricity and fuel markets, and global energy modelling [11]. The balancing of variable renewable power generation in an integrated energy system has not been in the focus of an experiment so far. In Europe, the research project “CAse Study Comparisons And Development of Energy Models for INtegrated Technology Systems (CASCADE MINTS)” is to be mentioned. From 2004 to 2006, eight European research partners dealt with the modelling of energy systems and scenario evaluation using various models. The focus here was primarily on the interactions of the electricity system with the hydrogen economy and technologies such as Carbon Capture and Storage (CCS) [12]. In the ENSEMBLES multi-model experiment, ten global climate and Earth System models were employed to evaluate energy scenarios for climate change mitigation [13]. Later, another EU project entitled “Assessment of Climate Change Mitigation Pathways and Evaluation of the Robustness of the Mitigation Cost Estimates (AMPERE)” was carried out using 17 integrated assessment models (IAM) of international research partners from 2011 to 2014 to answer questions on decarbonisation paths and the modelling of climate systems [14]. Similar questions were addressed in an earlier model comparison of five IAMs [15]. A comparison of different IAMs was also performed within the ADVANCE project [16]. An ongoing project is the “Energy Modelling Platform for Europe (EMP-E)”, which provides an online platform and organises an annual conference [17], but does not perform dedicated model experiments. The “Forum für Energiemodelle und Energiewirtschaftliche Systemanalysen in Deutschland (Forum for energy models and energy systems analysis in Germany, FORUM)” was established for the first time in Germany in 1997. Here the exchange of experience between the modellers themselves as well as the users from research, economy and politics was the focus. A total of five model experiments emerged from the FORUM. With a focus on national energy supply, topics such as the future role of RE in liberalized markets [18], the phase-out of nuclear energy [19] or the impact of technology innovation [20] were considered. The activities lasted until 2007. In addition, there are other more recent studies which also formulate conclusions for best practice approaches and for

1.2. Scope and focus of this paper This paper adds to the available literature by providing insight into the methodological, technical and content-related lessons-learnt from the preparation of a first-of-its-kind model experiment with four high resolution power system models. Such models play a central role in policy advice for efficient climate protection. A systematic model comparison is an essential element for their improvement and validity. Thus, this work makes an important contribution to improving the quality of model-based energy scenario studies. More specifically, the three main objectives of this paper are: (1) to provide insight into the lessons learnt from the preparation of a model experiment with four high resolution power system models, (2) to present results of three scenarios for the German power supply system in the year 2050 considering a RE supply share of about 90% and all major balancing options including energy sector coupling, and (3) to evaluate the impact of different technology modelling approaches on the results. At the centre of the model experiment is the analysis of differences in the results of optimizing power system models, which result from the respective technology modelling approaches when using input data that are as identical as possible. This is done by modelling the hourly use of load balancing options over the course of a year which is strongly influenced by the variable nature of renewable power generation. The load balancing options under consideration include international and national electricity exchange, the use of power-to-power energy storage, dispatchable conventional and renewable power plants, the curtailment of VRE generation, demand response (DR) and flexible coupling to the heat and transport sectors via combined heat and power (CHP), heat pumps (HP), direct electric heat generation, battery electric vehicles (BEV), and decentralized hydrogen electrolysis. The model comparison is based on the need for various load balancing options and the annual utilization of all installed capacity. In addition, the annual supply costs and the resulting CO2 emissions are compared. Three scenarios for the year 2050 are evaluated in the experiment. The model experiment is performed applying four models: REMix (DLR), PowerFlexEU (ÖkoInstitut), SCOPE (Fraunhofer IEE) and ELMOD (Technical University Dresden). Based on a detailed description of the procedure, models, input data and evaluation indicators (Section 2) the paper provides 2

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Framework scenario

Model experiment Energy demand

-

European scenario -

REMix application Capacity optimization of wind, PV, CSP, and gas power plants, electricity storage (and grid) Reduced consideration of flexible sector coupling

- Hourly export/import - RE, CHP and grid capacities

-

4 models - REMix (DLR) - PowerFlex (Öko-Institut) - SCOPE (Fraunhofer IEE) - ELMOD (TU Dresden) Restriction to Germany Optimization of additional gas power plants and storage Full consideration of flexible sector coupling

Fig. 1. Overview of the modelling procedure.

supply structure. The scenarios are designed in such a way that the use of temporal load balancing options can be analysed with different characteristics of variable generation and different possibilities of spatial balancing. In this way, the impact of model differences on the results can be understood more comprehensively on the one hand and statements on the dependence of the use of flexible sector coupling on the RE generation structure can be derived on the other. The differences in the RE plant fleet and network capacities result from the assumptions made when calculating the European model runs. These assumptions include the consideration of an endogenous expansion of the electricity grid between the model regions beyond the currently existing and planned transmission capacities. In the Import scenario, additional lines with unlimited capacity can be added, whereas in the Decentralized scenario, no additional lines are allowed. In the Offshore scenario, the grid can only be strengthened within Germany. To avoid a concentration of RE generation capacities in regions with particularly good conditions, each model region has to meet its own supply requirements in all scenarios. In the Import and Offshore scenarios, a value of 65% is used for this, whereas in the Decentralized scenario, 90% is used. In order to investigate the role of an extended expansion of offshore wind power, a significantly higher installed turbine capacity is applied in the Offshore scenario. Beyond the three scenarios of the model experiment, different sensitivity calculations are carried out with REMix for the scenarios Import and Decentralized. The aim of these is to focus on analysing the importance of individual technologies for load balancing. On the one hand, the regional cost-optimal design of heat storage, hydrogen storage and electric boilers in CHP systems is determined, and on the other hand the effect of inflexible operation of electrolysers, CHP plants, and HP as well as uncontrolled BEV charging is analysed (Appendix A).

insight into the results of the model experiment (Section 3). Conclusions on the procedure and results are compiled in Section 4. 2. Data and methodology The focus of the model experiment is on the evaluation of the model characteristics. For this reason, a uniform set of input parameters is used in all models. It consists of framework assumptions as well as the results of an upstream analysis. To reduce the complexity and degree of freedom of optimization, the model experiment is limited to Germany. However, the great importance of international electricity exchange in systems with high RE shares is taken into account by performing upstream Europe-wide calculations with the REMix model [23–25]. Time series of the hourly electricity exchange between Germany and its neighbours determined there are taken into account in the actual experiment in all models as an exogenous input. This procedure is shown in Fig. 1. The electricity demand in Germany and the European countries is determined by means of a target-oriented framework scenario. A minimum power plant fleet is also defined based on available scenario studies. REMix is then used to optimize the expansion of additional power generation and storage capacities across all regions. Depending on the scenario, an endogenous expansion of the power transmission grid is also considered. The resulting RE and CHP capacities installed in Germany are also used as input parameters in the model experiment. The model experiment relies on a model parameterisation developed at DLR in recent years, which maps a goal-oriented development path of the energy transition in the German electricity sector. For consistency reasons, this development is also assumed in principle for Europe. No explicit assumptions are made on socio-economic development and there is no claim to a scenario that is as robust and costminimised as possible for society as a whole. In this respect, the parameterization and underlying framework assumptions have an exemplary character in order to be able to use an appropriate and proven analytical framework from a model perspective. The main framework assumptions are the demand for electricity and electricity-based hydrogen in the various sectors of the energy system. Demands from transport and industry as well as the use of electricity for HP are considered in detail. The conventional electricity demand, the final energy consumption of hydrogen in industry and transport, and the electricity demand of HP and industrial process heat generation are assumed according to the Ambitious Scenario in [26]. Other key assumptions for the German energy system include the potential and costs of RE and the specific costs of all technologies depicted, including storage facilities and power transmission lines. Capacities of different power plant technologies were also explicitly specified. These assumptions were derived from previous scenario studies and own modelling within the framework of various research projects [24,27–29].

2.2. Modelling of the European power system The main objective of the upstream scenario modelling for Europe is to determine the installed RE plant capacities and the hourly international electricity exchange for the model experiment. This ensures that the generation structure adopted for Germany is part of a European supply system based mainly on RE sources and that the role of the international interconnected grid as a load balancing option is adequately and consistently taken into account. The study area covers all countries of continental Europe, minus Russia and Ukraine, and plus the United Kingdom and Ireland. Compared to the model experiment with a focus on Germany, a reduced technology variety is provided with regard to sector coupling in order to limit the computing time. Only dispatchable conventional and renewable power plants, electricity storage, the electricity grid and flexible decentralized hydrogen electrolysis are considered as balancing options. The capacity optimization includes the expansion of photovoltaic (PV), wind (onshore and offshore), concentrating solar power (CSP) and gas power plants (simple and combined cycle, SCGT/CCGT), battery and hydrogen cavern storage facilities, as well as direct current (DC) and alternating current (AC) power lines. The design of the decentralized electrolysers and the size of the

2.1. Considered scenarios Three scenarios for the year 2050 are investigated in the experiment (Fig. 2). These differ in the available transmission capacities and RE 3

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Import Grid expansion

(excluding connection of offshore wind)

Self-supply

Decentralized

Offshore

Endogenous expansion in Germany and neighbours

No endogenous grid expansion

Endogenous expansion only in Germany

Each model region generates 65% of its demand

Each model region generates 90% ofits demand

Each model region generates 65% ofits demand

Minimum installed capacity in Germany: 29 GW

Wind offshore

Minimum installed capacity in Germany: 29 GW

Minimum installed capacity in Germany: 45 GW

Fig. 2. Scenarios evaluated in the experiment.

hydrogen storage tanks are fixed at 4000 full load hours and 6 h of hydrogen production, respectively. BEV charging and HP operation are assumed to be completely inflexible, CHP plants are not considered separately. Generation capacities are determined taking into account a partially existing plant fleet. This is essentially based on the “Small& Local” scenario of the eHighway study [30]. However, the national capacities determined there were partially adjusted. For example, the strong expansion of hydropower plants in Norway and Finland assumed in the study were reduced, as they lead to massive surpluses and a onesided preference for grid expansion. For offshore wind farms, the very low installed capacity is increased on the basis of the capacities built up to date and the potentials determined [23]. In addition, the assumptions for electricity and hydrogen demand in transport were adjusted to the framework assumptions for Germany for consistency reasons. The construction of new power plants, storage facilities and power lines is primarily driven by national CO2 emission ceilings and own-supply shares. The emission ceilings are based on a reduction of more than 80% of CO2 emissions from electricity generation across Europe by 2050 compared to 1990. They were derived by assuming the same specific CO2 emissions per kWh of electricity generated in the future for the individual countries.

computing time manageable for all models. 2.4. Input data harmonization In order to be able to trace differences in results back to model characteristics, the input data of all models are harmonized as completely as possible. This does not apply to individual parameters resulting from specific model characteristics (Section 2.5). The input data refer to the scenario year 2050 and mainly comprise the techno-economic indicators, installed plant capacity and time series of generation, demand and international electricity exchange. The input data sheets for the three scenarios of the model experiment have been made publicly available [32]. The data transfer from the upstream European REMix runs includes the installed wind and PV capacities, the transmission grid capacities, the hourly international electricity exchange, the decentralized hydrogen electrolyzer and storage capacities, and the indicative CO2 shadow price. Due to the assumptions made in each case, these show significant differences (Table 1). The Import scenario is characterized by a significant addition of interconnectors between the German model regions and at the international borders to twice the assumed initial state. This network expansion and the associated import of around 15% of demand significantly reduces the required RE capacity in Germany compared with the other scenarios. It also lowers the CO2 shadow price, which reflects the marginal costs of CO2 avoidance. In the experiment, the marginal prices for Germany resulting from the application of the emission limit are used. Restricting electricity imports and fixing the electricity grid to the currently planned level of expansion in the Decentralized scenario leads to significantly higher installed wind and PV capacities. This results in greater fluctuations in feed-in and a greater need for load balancing. In this respect, the Offshore scenario lies between the other two scenarios. In order to analyse the flexibility provided by heat storage and electric heaters, CHP plants of various types are considered (Table 1). CHP capacities are derived by converting the CCGT capacity required in the European model runs as additional backup, taking into account the district heating potentials determined in [24]. From the electrical CHP capacity determined in this way, the respective assigned thermal peak load is calculated using the assumed power-to-heat ratios, power loss indices, the system design and the heat demand profile. This is used to determine capacities of heat storages, peak-load boilers and electric boilers. Heat storages in buildings are dimensioned to 4 h, in engine CHP systems to 8 h, and in combined cycle systems to 6 h of the annual peak demand. The conventional peak boilers are designed for the peak load plus heat network losses of 10% and the electric boilers for twice the peak load. The SCGT and electricity storage capacities determined in the European analysis are not transferred to the model experiment, potentially causing a capacity gap. Further assumptions include the power and hydrogen demand, the fuel costs, and the installed capacities of hydropower plants, demand response and electric HP (Table 1). The HP capacity results from the assumed annual heat demand of 42 TWh for air-water HP and 57 TWh for brine-water HP. The storage tanks are each designed for 2 h of the annual peak demand. The maximum capacities of the hydrogen cavern storage facilities are taken from [39]. In contrast, there is no upper limit

2.3. Investigation area and technologies in the model experiment In order to consider grid restrictions, 18 regions within Germany are examined, which are based on the control zones of the four transmission system operators (Fig. 3). Any electricity grid within these regions is not considered. For each region, all facilities of the same type installed there, e.g. electricity consumers, power plants and storages are aggregated and treated as one large unit. The direct comparison of the use of different load balancing options defined as one objective of this work presupposes that the technologies under consideration are consistent in all systems (Fig. 4). Limitations of the technological and spatial resolution of the models are also important in order to make the

2 1 2

1 1

3

3

2

4

4 5

TenneT 1-6

5

1 2

4

3

6

50Hertz 1-4 6

Amprion 1-6 TransnetBW 1-2

Fig. 3. Regional disaggregation of Germany [31]. 4

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Generation

Cogeneration

Transmission, Storage

Other sector coupling

Photovoltaic Run-of-the river Reservoir hydro Offshore wind Onshore wind Simple cycle GT Combined cycle GT

Biogas engine Gas engine Extraction CCGT Micro gas engine Solid biomass

AC power grid DC power lines Pumped hydro storage Lithium battery storage Hydrogen cavern storage Industrial/commercial DR

Flexible charging/grid feed-in ofbattery electric vehicles

All equipped with peak heat boiler, electric boiler and thermal storage

Flexible H2 electrolysis with tank storage Electric heat pumps and boilers with thermal storage

Fig. 4. Overview of the technologies considered in the model experiment. The installed capacity of the highlighted technologies is determined endogenously by some models.

on the number of battery storage units and gas-fired power plants that can be added by the models. The hourly wind and PV electricity generation as well as the inflow to hydropower plants are calculated according to [23]. For wind and PV time series, the historical weather year 2011 is used, for hydropower different years depending on data availability. The regional load profiles are assumed according to the historical data for the year 2011 of ENTSO-E [40]. A regional differentiation of the load profile is not considered. The profiles of uncontrolled charging, electric driving, grid contact and minimum and maximum battery levels are taken from [41]. The heat demand profile of the industry is taken from [24], that for the heating network and building supply based on [42]. The hourly and technology-specific time series of the maximum load increase or load reduction are derived from [35]. The power demand is distributed among regions according to the population shares and number of vehicles [43], the hydrogen demand according to the industrial heat demand [24] and the number of vehicles [43]. Heat demand is only included for the modelled CHP and HP systems and is spatially disaggregated according to the plant distribution.

method used did not play a role here. To ensure comparability of the results, however, the models should have an optimization algorithm and work with a time resolution of one hour. It was also assumed that system operation would be optimized for all hours of a year. On this basis, in addition to the REMix model, three models were finally selected which were suitable in scope and detail, particularly with regard to the considered load balancing options and sector coupling. The selected models include PowerFlexEU [44,45], SCOPE [46–51] and ELMOD [52–54]. With regard to the experiment configuration used, the models show significant similarities, but also differences (Table 2). All models have a deterministic approach and consider uncertainty through the evaluation of different scenarios and sensitivity analysis. A central common methodological feature is the use of linear programming to minimize the overall costs from the perspective of an economic planner. (1)

min {Coperation + Cfuel + Cemission + CunsupplLoad + Cinvest }

In all models, the objective function contains the variable operating costs of all technologies Coperation, fuel costs Cfuel, CO2 emissions certificate costs Cemission and penalty costs for unsupplied power demand CunsupplLoad (Eq. (1)). In the models REMix and SCOPE, additional elements of the target function Cinvest may result from the endogenous addition of gas power plants and power storage units, which is not considered in PowerFlex and ELMOD. However, PowerFlex uses an iterative process to evaluate the investment requirements for additional backup generation, which is reduced to a two-step optimization in this project. In the first modelling stage, virtual gas power plants with very high marginal costs start up whenever a capacity gap occurs. From

2.5. Contributing models The models were selected on the basis of a number of criteria, in particular with regard to the technologies depicted in the model. These were queried for a total of ten other models using a model fact sheet designed according to the specific requirements of the experiment (see Appendix B). This can serve as a basis for model selection in future comparisons. The type of programming and the mathematical solution Table 1 Overview of the model input for Germany considered in the model comparison. Parameter

Import

Grid expansion (AC) Grid expansion (DC) Net import PV capacities Wind onshore capacities Wind offshore capacities CO2 price CHP capacities

130 GW 0 GW 26 GW 0 GW 0 GW 32 GW 107 TWh 37 TWh 73 TWh 161 GW 283 GW 185 GW 117 GW 129 GW 105 GW 29 GW 29 GW 45 GW 84 €/t 178 €/t 151 €/t Natural gas engine CHP: 2.1 GW, Biogas engine CHP: 2.7 GW, Natural gas micro engine CHP: 0.2 GW, Natural gas CCGT with CHP: 4.0 GW, Solid biomass combustion CHP: 5.2 GW Electrolyzer capacity: 28.7 GW, Tank storage capacity 59 GWh Run-of-the-river hydro: 3.6 GW, reservoir hydro: 0.5 GW, pumped storage hydro: 8.1 GW 28.2 GW Air-water HP: 4.7 GW (el), Brine-water HP: 6.0 GW (el) Conventional electricity consumers: 477 TWh, BEV: 44 TWh Industry: 55 TWh, Transport 31 TWh Natural gas: 33€/MWh (chem), Solid biomass: 33€/MWh (chem), Biogas: 33€/MWh (chem) SCGT: 437 €/kW, CCGT: 850 €/kW, battery storage: 50 €/kW (converter) and 150 €/kWh (storage), hydrogen cavern storage: 305 €/kW (charging), 850 €/kW (discharging) and 1 €/kWh (storage)

Decentralized H2 infrastructure Hydro power plant capacities Demand response capacities Heat pump capacities Power demand Hydrogen demand Fuel costs Technology investment costs

Decentralized

Offshore

5

Source European European European European European European European European

model model model model model model model model

runs runs runs runs runs runs runs runs

European model runs [30,33,34] [35,36] Calculated from [26] [26] [26] Own assumption [37,38]

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Table 2 Differences in the model characteristics in the configuration used in the experiment.

Programming language Composition of the objective function Regional resolution Optimisation horizon Technology consideration Capacity expansion AC grid model Flexible sector coupling

REMix

PowerFlex

SCOPE

GAMS

Technical and mathematical characteristics GAMS Matlab

GAMS

CAPEX, OPEX, fuel costs, CO2 costs

Optimisation OPEX, fuel costs, CO2 costs

OPEX, fuel costs, CO2 costs

1 year

Temporal and spatial resolution 18 regions 9 days 1 year

Endogenous expansion of gas Iterative expansion (reduced to a power plants and electricity two-step approach) of gas power storage plants DC load flow Transport model CHP, electric heat pumps, battery electric vehicles, H2 electrolysis

these results, the capacity of CCGT plants with sufficient full load hours (1800 h/yr) is then derived. In the second modelling stage, these power plants are then available with their individual marginal costs for electricity production. The demand for additional virtual power plants remaining in the second modelling stage is assumed to be covered by SCGT. The investments required for this are determined ex-post using the parameters specified in the input data. An endogenous installation of power storage is not considered in PowerFlex in the experiment. While the technologies considered are mostly identical in REMix, PowerFlex and SCOPE, a significantly reduced scope is considered in the ELMOD model. Due to its special focus on the power transmission network, ELMOD does not include DR and sector coupling technologies. The flexible demand of the sector coupling is taken into account indirectly by integrating the load profiles from the REMix results. In contrast to the other models, ELMOD includes a significantly higher spatial resolution and more detailed representation of the power transmission network. Since no data is specified for the individual transmission lines, ELMOD carried out an optimized network expansion for the reference year in advance, which determines the network infrastructure for scenario Import under optimal network expansion. Based on the differences in transmission capacities between the scenarios in the data, the expanded line capacities were scaled downwards in scenario Decentralized. To adequately map grid flows ELMOD also models the operation of the European power plant fleet, which is considered according to the upstream modelling in REMix. As a result, the international electricity exchange is not fixed but part of the model results. Assuming that storage capacities are generally installed to smooth demand and in particular to integrate variable renewables, a relationship is assumed between the amounts of curtailed energy calculated by ELMOD and the additional demand for storage capacities. Accordingly, based on the maximum surplus power generation over all

CAPEX, OPEX, fuel costs, CO2 costs

Endogenous expansion of gas power plants and electricity storage Transport model

ELMOD

642 grid nodes 1 day Expansion decision based on operation of backup power plants DC load flow None

time steps, the minimum storage capacity required and the identical maximum charging power per model region is estimated. An analogous procedure was chosen for gas power plants. There, the reference value for estimating additional capacities is the load that cannot be satisfied. It is assumed that the additional power plant capacities will be used to close the capacity gap. The load shedding per model region and time step is limited to the local demand. Depending on the maximum load shedding and the unsatisfied demand in each model region, a downstream optimization algorithm decides which combination of both generation technologies satisfies the demand at minimum cost. There are differences in the consideration of the power grid not only with regard to the regional resolution, but also with regard to technology modelling. In SCOPE and PowerFlex, power transmission between regions is taken into account using a transport model. This implies that all connections are independent of each other and the full transmission capacities can be used. In contrast to this, REMix and ELMOD use the DC load flow approach. This linearized approach of power flow modelling takes into account the interaction between the flows over various lines connected to a node, which leads to a reduction in the actually usable transmission capacity. This approach is also available in PowerFlex and SCOPE, but could not be used as it requires additional input data, which was not provided within the experiment. In addition to the difference in modelling, PowerFlex does not endogenously calculate grid losses. Instead, these are estimated downstream on the basis of the observed flows. Another difference between the models concerns the time horizon of optimization. While REMix and SCOPE assume a perfect foresight for the entire optimization period of a year, PowerFlex and ELMOD assume a limited foresight for nine days or one day, respectively. Beyond these fundamental aspects, the models show some differences in technology modelling, to which a possible influence on the results can be attributed (Table 3). When evaluating

Table 3 Differences in the technology modelling of the model configuration used in the experiment. Technology

Modelling difference in the experiment

Hydro power Hydrogen cavern storage

Consideration of single dams and historic water inflow data of 2011 in SCOPE Separate dimensioning of charging, discharging and storage unit in REMix Expansion of fixed storage sizes in SCOPE (10 days, 20 days, 30 days) with identical charging and discharging capacity Different technology modelling in all models No consideration of variable costs in PowerFlex due to flow storage modelling approach Different technology modelling in all models Regional charging and driving profiles in PowerFlex No grid feed-in from vehicle batteries in PowerFlex Temperature-dependent coefficient of performance in REMix (air-to-water heat pumps only) and SCOPE No emergency cooler for back-pressure CHP plants in SCOPE Separate consideration of CHP disc and condensation disc in PowerFlex. Only backpressure operation of the CHP disc No consideration of variable costs, charging and discharging efficiency in PowerFlex due to modelling as a flow storage device, but storage selfdischarge is considered

Demand response Battery electric vehicles Heat pumps CHP Thermal energy storage

6

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the model comparison in Section 3, these are used to interpret the differences in results. The power balance is the most important boundary condition in all models. It ensures that electricity demand and supply are balanced in each region and hour (Eq.2). Demand includes the inflexible load of conventional consumers PdemFix, charging of electricity storage PstorCharge, and export Pimport. In all models except PowerFlex it is supplemented by grid losses PgridLoss, in all models except ELMOD by demand response load increase PloadInc and the semi-flexible loads of electric vehicles PvehCharge, electric heat PelHeat and hydrogen production PH2Prod. The supply includes the generation in all types of power plants Pgen, discharging of electricity storage PstorDischarge and imports Pimport. In all models except ELMOD further contributions can come from demand response load reduction PloadRed, in SCOPE and REMix also from the grid feed-in of BEV PV2G. To ensure feasibility of the model also when no endogenous capacity expansion is possible, a slack variable representing the unsupplied load PunsupplLoad is included, which can be interpreted as the generation of virtual power plants. The costs of unsupplied load CunsupplLoad in Eq. (1) are proportional to this variable.

(Figs. 7–9). This is emphasized by the resulting endogenous optimization of decentralized hydrogen infrastructure and the flexible design of CHP and HP in the sensitivity analysis (Appendix A), which leads to significantly lower capacities for electrolysers, hydrogen storage, heat storage and electric boilers in scenario Import than in scenario Decentralized. The non-availability of power-controlled heat generation and flexible BEV charging leads in scenario Import to a greater use of existing balancing options, while in scenario Decentralized additional power storage is built. This results from an oversizing of the power grid in the upstream European modelling where no other flexibilities are considered as well as of exogenously defined storage in heat and hydrogen production. The Offshore scenario – focussing on expanding offshore wind turbines in the North and transmitting their generation to the south of Germany – lies, as expected, between the two other scenarios which are more pointed with regard to the need for load balancing options and their use. The model results are valid for the assumptions made regarding the future development of demand, installed power plants and techno-economic technology parameters. All of these are subject to a very high degree of uncertainty, which also applies to the model results. A systematic record and quantification of this uncertainty are beyond the scope of this paper. The analysis of model differences, which is a methodical objective of this work, is based on a comparison of results for different parameters. These include the need for additional power plants and storage facilities, as well as the operation of the load balancing options considered. Furthermore, the power supply costs and annual CO2 emissions are compared. Due to the significantly higher effort involved in model parameterization, only the Import and Decentralized scenarios are considered in ELMOD. The interpretation of the results is based on the model differences listed in Section 2.5. Despite the many load balancing options taken into account, the specified generation capacities are not sufficient to cover demand in every hour of the year. This implies that flexible sectoral coupling technologies cannot replace the SCGT and storage capacities, which were endogenously added in the upstream model runs. Consequently, capacity requirements remain, which are covered in the REMix and SCOPE models by an endogenous investment in additional power plants and storage facilities (Fig. 5). Across all scenarios the overall added generation capacity reaches comparable values in both models. However, there are clear differences in the distribution between the technologies. Due to the independent dimensioning of the charging, discharging and storage units, more hydrogen storage is built in REMix. In the Decentralized scenario, not only is the discharge capacity significantly larger at 4.6 GW compared to 3.3 GW, but also the charging capacity (14.3 GW/3.3 GW) and storage size

PdemFix (t ) + PstorCharge (t ) + Pexport (t ) + PgridLoss (t ) + PvehCharge (t ) + PloadInc (t ) + PelHeat (t ) + PH 2Prod (t ) = Pgen (t ) + PstorDischarge (t ) + Pimport (t ) + PloadRed (t ) + PV 2G + PunsupplLoad (t )

(2)

The difference in the target function caused by the endogenous installation of power plants and storage has a major impact on the system operation, as it shifts the focus from minimizing the overall amount of unsupplied load t PunsupplLoad (t ) to minimizing its maximum value max PunsupplLoad (t ) , which is equivalent to the added capacity. t

3. Results and discussion In accordance with the content-related objective of this work, the scenarios examined in the model experiment offer a wide range of insights into the role of load balancing with high shares of variable power generation. The comparison of the Import and Decentralized scenarios underline that a stronger expansion of the power grid compared to more decentralized generation results in a significantly reduced need for additional dispatchable backup power plants and power storage facilities (Fig. 5). Across all models, the use of load balancing options is generally reduced by strengthening the grid and lowering regional import limits and consequently increasing the concentration of RE generation capacities in regions with good resource availability

Fig. 5. Comparison of the capacity installation of gas power plants and electricity storage. 7

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(1.6 TWh/0.5 TWh). In the Offshore scenario, hydrogen storage is only added in REMix and reaches 5.9 GW for charging, 1.5 GW for discharging and 0.4 TWh for the storage size. The independent dimensioning of the charging and discharging unit has a significant effect on the use of RE generation peaks. If a larger design of the charging unit is possible, the RE curtailment can be reduced, but at the expense of higher storage losses (Figs. 6 and 8). Endogenous addition of battery storage occurs only in scenario Import and reaches similar capacities in both models. The slightly higher power plant demand in SCOPE in all scenarios is due to the smaller hydrogen reservoirs and reduced amount as well as flexibility of hydroelectric power generation. PowerFlex determines a slightly higher capacity requirement (Fig. 5), which can be explained methodically. While in the case of endogenous capacity expansion, the flexibility available in the system is primarily used to minimize the need for additional power plants and thus the investment costs Cinvest in Eq. (1), in PowerFlex it is primarily used to minimize operation of virtual gas-fired power plants with very high marginal costs represented by CunsupplLoad. Since these costs do not scale with the coverage gap but only with the amount of energy, this

tends to lead to a higher need for additional power plants. The twostage approach used for the determination of SCGT and CCGT capacities in PowerFlex (see Section 2.5) tends to cause an underestimation of the optimal CCGT capacity – including reconversion of hydrogen to electricity – in comparison to REMix and SCOPE. An increase in the number of iterations is likely to reduce these differences. Similar to PowerFlex, ELMOD attempts to avoid the amount of energy not provided PunsupplyLoad . This effect is a much more pronounced due to the detailed consideration of the power grid as well as the separate quantification of the capacity demand for each grid node. The method of estimating the storage expansion used in ELMOD also leads to significantly higher values, resulting from the fact that bottleneckrelated VRE curtailments are compensated by additional storage capacity. This effect is intensified in the case of an asymmetrical expansion of decentralized generation plants and grid elements, since the VRE power cannot be completely transported away through the grid. Furthermore, the reported capacity demand is increased by the independent determination of additional storage and power plant capacities. This implies that synergies between the grid nodes as well as 8

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Fig. 8. Comparison of storage and demand response operation.

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capacity (Fig. 6). SCOPE systematically generates about 20% less electricity from hydropower, which can be attributed to the detailed modelling of dams and cascades and the use of data from the weather year 2011, which was statistically a rather poor year for hydropower generation. Both variable and overall power generation are in PowerFlex and ELMOD lower than in the other models. In PowerFlex, lower demand results from the neglect of grid losses. This combined with the reduced foresight and the lower availability of power storage in the Decentralized and Offshore scenarios leads to higher RE curtailment. In ELMOD, the higher RE curtailment is due to additional grid restrictions, while the lower total overall generation results from the realization of higher electricity imports. The differences in the available power plant as well as storage capacities and the evaluation method used for quantifying additional capacities are the main drivers for deviations in the usage of the flexibility provided by load balancing options, such as dispatchable power plants, energy storage and demand response. Across all scenarios, the different usage of the available flexibility for reducing unmet energy demand or operation of virtual back-up with high marginal costs P (t ) on the one hand, and for reducing unmet capacity det unsupplLoad mand maxPunsupplLoad (t ) on the other has a major impact on the opera-

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interactions between storage and generation capacities are not taken into account. For several indicators, a direct comparison of the results of ELMOD and the other models proves to be difficult, due to its fundamentally different model structure and objective as well as the different input data requirement, which made a complete harmonization impossible. When selecting the models, ELMOD was deliberately chosen as a model that clearly distinguishes itself from the other models in terms of its scope. The aim was to investigate how the demand for electricity storage and power plants, as well as their use, changes through a detailed analysis of the transmission grid. However, the model results show high deviations from the other models, which cannot be attributed solely to the more precise modelling of the power grid. Rather, the given input data of the experiment were not sufficient for the parameterization of ELMOD, and the assumptions necessarily made in addition were not consistent with this. As a consequence, the results of ELMOD are only partially comparable with those of the other models. An extension of the input data set to the additional parameters required in ELMOD, including the capacities of individual transmission lines and an exact assignment of demand and generation to the network nodes could not be achieved within the setting of the experiment. Consequently, no statement can be made as to whether the extension of the input data set would lead to an increase in comparability in the results. The power generation structure is similar in all models, resulting from the high supply share of the exogenously defined wind and PV

t

tion of load balancing options. The annual electricity generation in CHP and gas power plants is shown in detail in Fig. 7. As a result of the more extensive RE curtailment, electricity generation in gas power plants in ELMOD is significantly higher than in the other models. There, the total amount of controllable generation is almost identical in the Import scenario. Differences in the composition arise mainly in PowerFlex, and result from the differences concerning the investment decision. With lower CCGT capacity, CHP plants are used more frequently in order to minimize the operation of the virtual back-up. The lower CCGT capacity is also the reason for the higher power generation of extraction condensing CHP plants (biomass, CCGT) in REMix compared to SCOPE. In the Decentralized scenario, the controllable power generation in PowerFlex and REMix are relatively similar, such as the CCGT capacity (Fig. 5). Only the usage of SCGT is significantly higher due to lower electricity storage capacities. The comparatively high CCGT use in SCOPE indirectly results from the lower hydrogen storage capacity, which favours the use of renewable electricity for heat production and thus a lower CHP utilisation. This also explains the differences between REMix and SCOPE in the Offshore scenario. There, PowerFlex and REMix have again similar results except the use of SCGT and CCGT as an effect of the deviating investment decisions and the lower demand in PowerFlex. The lack of an emergency cooler in backpressure CHP systems in SCOPE results in a limitation of the annual power output by the

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corresponding heat demand. This becomes visible in the output of the biogas systems which is the same across all scenarios. With regard to the contribution of flexible sector coupling to the balancing of VRE power generation in future energy systems, the model results demonstrate the high attractiveness of controlled BEV charging to reduce system costs (Fig. 8). On the other hand, with the battery degradation costs assumed here, there is hardly any grid feed-in from BEV. Taking variable costs into account, DR in industry and commercial sectors makes as well hardly any major contribution to load balancing. Its role is then limited to peak shaving aiming at a reduction of the need for additional power generation capacity. Due to the available electricity storage capacities and the differences in modelling, there are some significant differences in the use of electricity storage and DR between the models. Comparing REMix and SCOPE, this primarily concerns the discharging of hydrogen cavern storage and BEV charge control. The former results directly from the differences in charging and storage capacity, whereas the differences in the use of the BEV charge control are presumed to result from details of the modelling, but cannot be directly associated. Significantly larger deviations can be seen in comparison with PowerFlex and ELMOD. In PowerFlex, this is clearly related to the lack of endogenous investment additional generation or storage capacity, which strongly fosters the usage of the available balancing options to minimize the unmet power demand associated to very high costs. Additionally, the perfect foresight over the whole year considered in REMix and SCOPE leads to a highly rational dispatch result, which underestimates the use of the flexibility options compared to the reduced foresight of only nine days in PowerFlex. Furthermore, the high usage of DR and BEV charge control result from the neglect of costs and the assumption of a completely flexible vehicle fleet, respectively. Against the background of possible costs and restrictions for consumers, however, this is a rather optimistic assessment of the DR potential. ELMOD shows an even higher use of PSH, which is clearly related to the lack of other temporal balancing options. The unavailability of BEV charge control can almost completely be compensated by the available PSH plants. The model comparison of transmission grid usage shows no systematic patterns throughout the scenarios (Fig. 9). The results of REMix and SCOPE are an exception. By considering the physical power flow, the use of the DC load flow approach in REMix across all scenarios leads to a 20–40% reduction in annual transmission compared to the transport model approach in SCOPE, which corresponds to a higher transmission capacity over all lines. Despite the significantly higher line utilisation, however, the higher transmission capacity in SCOPE does not lead to a lower endogenous expansion of power plants and storage facilities. Consequently, network modelling does not appear to have a significant effect on capacity requirements in the experiment. With PowerFlex compared to REMix, line utilization is higher in scenario Import, which is consistent with the SCOPE results, but lower in the other scenarios. In Decentralized this is presumably related to the hydrogen cavern storage endogenously built in REMix and SCOPE. The geographic concentration of this storage increases the need for grid usage while PowerFlex uses the available distributed flexibility options instead. The notably lower power transmission in scenario Offshore is furthermore influenced by the differences in the composition and operation of gas power plants. With less CCGT and more distributed SCGT capacity available, less power transmission is needed. In ELMOD, the relatively small quantities of electricity transmitted in scenario Import result from the interdependency of line flows within a meshed grid. As a consequence, single lines restrict the possible exchange in a way that remaining transmission capacities on lines could not be utilized. Although the total transmission capacity between regions is decreased in the Decentralized scenario, internal power exchange increases, due to the distribution of supply and demand is more favourable to the utilization of the given grid infrastructure. Differences in available line capacity between the Import and Decentralized scenario derive from a preparatory expansion model and therefore differ less in ELMOD than

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in the other models. The power-controlled operation of heat pumps and CHP plants offers further possibilities for temporal load balancing. This is made possible in particular by TES and, in the case of CHP systems, by electric boilers. The use of the exogenously defined capacities differs considerably between the scenarios and models (Figs. 10 and 11). According to the share of VRE generation, it is consistently lowest in the Import scenario and highest in the Decentralized scenario. A comparison of the models shows that the amount of heat stored is in all scenarios smallest in REMix and largest in PowerFlex. The latter relates to the neglect of variable costs and storage losses in PowerFlex, which are of particular relevance for the TES in industrial CHP systems. The significantly higher utilisation of the TES in building heat pumps in SCOPE and REMix is related to the consideration of a time-variable COP, which favours a partial adjustment of the heat pump operation of the heat source temperature. Regarding the usage of electric boilers, the model comparison does not give a uniform picture. The lower values in REMix compared to the other models in the Decentralized and Offshore scenarios result from the comparatively high charging capacity of the hydrogen storage tanks, which enables a significantly more extensive use of RE generation peaks. The energy stored there is then not available for electric heating, which is also related to the lower use of TES in these scenarios. Since no endogenous storage expansion occurs there,

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Fig. 11. Comparison of the usage of electric boilers in CHP systems. 10

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assumes that there is no perfect foresight over the whole year and uses smaller optimization horizons of nine days, the minimization of costs has to be a suboptimal solution compared to SCOPE and REMix and should produce higher costs.

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4. Conclusion and outlook

ELMOD

The central finding of the model comparison is that the models that are based on identical data do not arrive at identical but nevertheless very similar results. Furthermore, the results reveal that even if there are no significant deviations in the structure of power generation and in the expansion of storage facilities, the utilisation of flexibility options can be very different. Here, differences in the model representation of individual technologies play an important role. The model results show a relatively high robustness with regard to the aggregated use of dispatchable power plants on the one hand, as well as the sum of the load balancing provided by battery electric mobility, electricity storage, heat storage, and demand response on the other. Within these two categories there are larger deviations, which can be traced back to the many and varied differences in details of the modelling. Due to the approach chosen in the model experiment, effects of individual differences cannot be quantified as they superimpose each other. This follows directly from the fact that individual model differences are not analysed separately, which thus remains a task for future projects. Experience from the model experiment suggests that for a detailed and technology-specific investigation of effects on the results due to differences in technology modelling, a limitation to models with comparable objectives and input data requirements should be preferred. Against the background of the overlapping model differences, no final conclusions can be drawn for the degree of detail required for modelling, e.g. with regard to the electricity grid. Nevertheless, the model comparison allows the derivation of significant new qualitative statements with regard to differences in the technology representation. The results for instance show that estimating the need for additional power plants without endogenous optimization and based on minimizing the unmet electricity demand leads to an overestimation of required capacity. This effect can be reduced by iteratively determining the required capacity based on a minimum level of annual full load hours of unmet demand. Even though it was here only demonstrated in a reduced two-step application, results similar to an endogenous optimization could be achieved by this approach. With regard to the endogenous expansion of energy storage, the model comparison shows that a free dimensioning of the charging, discharging and storage units can lead to significant differences in design compared to assuming the same charging and discharging capacity and fixed storage sizes. Implementing a systematic model comparison requires a high effort of preparatory coordination. The first step is to gain a common understanding of the models involved, with regard to model structures, model properties and input data required for parameterization. The level of detail of the model template used proved to be sufficient for model selection, but does not provide a comprehensive picture of all model details relevant to the experiment. Some differences in data requirements and capabilities of the models involved did not emerge from the template. This underlines the importance of a comprehensive exchange and understanding of model and data structures. Although the models participating in the experiment show significant differences in their properties and details of the technology modelling, they are identical in their mathematical foundation. All models are based on linear optimization, and minimize the target function of system costs. This favours comparability in the model results, but leads to a restriction of the perspective. Against this background, an extension to other objective functions and optimization methods, but also to fundamentally different modelling approaches, is very desirable. Furthermore, our lessons learnt suggest that at least selected mathematical parameters such as the memory and time required to solve the systems of equations should also be included in model comparisons.

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Fig. 12. Comparison of the CO2 emissions.

this effect is not observed in the Import scenario, resulting in a high correspondence between REMix and SCOPE. The systematically lower usage of electric heating in PowerFlex compared to SCOPE is related to the higher CHP operation (Fig. 7), driven by the high cost of back-up power generation. The annual CO2 emissions in the modelled part of the energy system are directly correlated with the use of gas power plants and CHP plants. Accordingly, by far the highest emissions are detected in ELMOD (Fig. 12). According to gas-based power generation, the CO2 emissions are also very similar in SCOPE, PowerFlex and REMix. In the Import and Offshore scenarios, the lowest CO2 emissions are calculated in PowerFlex, as all the available flexibility is used to avoid the operation of the expensive virtual back-up generation, which also has the highest specific CO2 emissions. In Decentralized, a comparably high CCGT capacity is erected in PowerFlex. Given their low variable power generation costs, the CCGT partially reduce the Biomass CHP operation and push the overall CO2 emissions to a higher level than in REMix. The significantly higher use of gas power plants causes that the variable operating costs are also by far the highest in ELMOD. In the other models, similar values are obtained. The minor differences are in line with the dispatchable power generation available in each case, and in particular the use of gas-fired power plants (Fig. 13). Due to the high CO2 emission costs, these contribute significantly to the variable costs, and also superimpose the effect of the variable costs not considered in PowerFlex, e.g. of demand response and heat storage. As PowerFlex

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The described model experiment was developed by one of the participating modeller groups and the other models were integrated with suborders. Due to the design of the underlying project, these subcontracts included only relatively little working time, which meant that not all participants were able to work with the same level of detail. This potentially results in an interpretational imbalance, since the design of the experiment was essentially driven from the point of view of one model, which could result in a perception as a reference model. For future experiments this results in the recommendation of a balanced working time for all models involved in order to avoid such effects. In this way, a design can take more account of the strengths of all models and present the different perspectives in a more balanced way. The work carried out in this contribution has a significance and novelty with regard to different aspects of energy system modelling and points to several further research needs. For the first time, various stateof-the-art power system models with sector coupling from completely different developments have been compared with a harmonised focus and approach. In particular, we implemented the most complete possible standardization of input data. This was favoured by high similarity of the models used and the comparatively low data requirements. A disadvantage of the chosen approach is clearly the great need for coordination with regard to required input data and the exploration of model differences. On the other hand, this results in significantly better possibilities to attribute differences in results to the model properties.

However, this is subject to restrictions resulting from the fact that the models differ in numerous points, which makes a clear quantification of individual effects impossible. Future model experiments should take up this aspect and analyse the effect of details of technology modelling considering strongly reduced systems. The insight into different modelling approaches and their discussion represents a central added value for the scientific community helping to identify best practices. The collected findings also provide important points of orientation for setting priorities and structuring future model comparisons. Declaration of Competing Interest None. Acknowledgement The research for this paper was performed within the RegMex project supported by the Federal Ministry for Economic Affairs and Energy of Germany under grant number FKZ BMWi 0325874. The authors thank Diana Böttger, Matthias Koch, Hannes Hobbie, Christine Krüger, Dietmar Schüwer, Stefan Lechtenböhmer, Philip Sterchele, Yvonne Scholz, Felix Cebulla and Karl-Kiên Cao for the fruitful discussions on the design of the scenarios and the interpretation of the results.

Appendix A. Sensitivity analysis focused on flexible sector coupling The aim of the sensitivity analysis is an in-depth analysis of the significance of individual technologies for load balancing. REMix is used to perform supplementary model calculations for the scenarios Import and Decentralized, and the results are then compared with those of the corresponding scenario. Assuming uncontrolled charging and non-availability of grid feed-in for BEV (NoEVFlex) results in an increase in gas power plant demand of about 1 GW in both scenarios. While this is mostly covered by CCGT in the Import scenario, the increase in power plant (PP) capacity in the Decentralized scenario is mainly attributed to SCGT. An additional endogenous storage expansion is required only in the Decentralized scenario. It almost only occurs for batteries and amounts to more than 12 GW, corresponding to almost a tripling of the installed capacity (Fig. 14). These additional stationary batteries completely take over the function of the vehicle batteries, so there are almost no changes in the use of DR, flexible heat generation and the power grid. The stored electricity increases from 32 TWh to 46 TWh (Fig. 15). The higher storage losses are compensated by 2 TWh of additional generation in gas power plants. In contrast, the lack of flexibility of the battery vehicles in the Import scenario is mainly compensated for by the load balancing options available. This is possible because the design of transmission capacities in upstream European modelling does not take flexible sectoral coupling into account and is therefore rather oversized. In addition, the design of the heat storages is also larger than required, as the other sensitivity runs show. In detail, the use of PSH and DR is almost tripled, and the use of heat storage and electrical heat generation increases by about a third. There was also a slight increase in transmission and a slight shift in the generation of CHP plants to gas power plants. The additional losses amount to approximately 2.5 TWh and are compensated by gas power plants. Inflexible operation of CHP plants and heat pumps (NoHeatFlex) has significant effects on the electricity and heat supply. In both scenarios, the operation of CHP plants is reduced and must be compensated by a doubling of the heat production in peak boilers. In the power supply, similar patterns can be seen as with inflexible operation of the battery vehicles. In the Decentralized scenario, an additional expansion of battery and hydrogen cavern storage facilities by a total of 7 GW or 25% takes place (Fig. 14). The use of electricity storage is increasing to an even higher extent, while there are no changes in BEV charging and DR. The additional storage and the elimination of electrical heat generation reduces the demand for and use of gas-fired power plants by around 10% each. In the Import scenario, for the reasons mentioned above, no additional power storage is added

Fig. 14. Endogenous installation of gas power plants and electricity storage in the sensitivity runs(NoEVFlex describes the variants with uncontrolled BEV charging, NoHeatFlex the variants without heat storage and electrical heat generation in CHP systems, OptH2Flex the variants with endogenous optimisation of the design of decentralized electrolysers and hydrogen tank storage, OptHeatFlex the variants with endogenous optimisation of the design of heat storage and electrical heat generation in CHP systems, and NoH2Cavern the variant without consideration of hydrogen cavern storage.) 12

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Fig. 15. Power generation in dispatchable power plants and electricity storage in the sensitivity runs.

endogenously, but the existing load balancing options are used more intensively. The increase is particularly significant in the use of PSH (+100%, 1.7 TWh) and RE curtailment (+100%, 1.2 TWh), but also affects gas power plants, DR and BEV controlled charging. An optimization of the design of decentralized electrolysers and hydrogen tank storage (OptH2Flex) has contradictory effects in the scenarios considered. In the Import scenario, endogenous expansion results in a 25% lower electrolysis and hydrogen storage capacity of about 21 GW and 94 GWh, respectively. In the Decentralized scenario, electrolysis capacity increases by 20% to 34 GW and the hydrogen storage capacity more than doubles to 323 GWh. As a consequence of the changed flexibility in hydrogen production, the required backup capacity is reduced in scenario Decentralized, whereas it increases in Import. In the Decentralized scenario, there is also a significant reduction in endogenous storage capacity expansion, by 32% for battery storage, and by 13% of the discharge capacity for central hydrogen storage (Fig. 14). The different design of the hydrogen infrastructure does not cause any significant changes to the power generation structure in the Import scenario. However, there is a significant increase in the use of all temporal load balancing options, which amounts to almost 200% for PSH, 20% for controlled BEV charging, over 500% for the grid feed-in from vehicle batteries, 35% for TES and 120% for other DR. Thus the model uses the flexibility available but not exploited in the reference case. In the Decentralized scenario, the optimised design of the decentralized hydrogen infrastructure results in notable reductions of RE curtailment (9%) and storage usage (15%), whereas it increases the feed-in from battery vehicles (16%). The endogenous optimization of heat storage and electric boilers (OptHeatFlex) has significant effects, particularly in the scenario Import, in which the power grid is designed for extensive load balancing. This results in a significantly smaller design of the heat storage tanks by a total of 75% or 250 GWh. This applies in particular to building heat supply, for which no storage tanks are built. In contrast, in the case of CCGT-CHP plants, storage units are expanded in the same magnitude than exogenously defined. The heat stored in the storage tanks is reduced by 53%, corresponding to 6 TWh. The installed capacity of the electric boilers is 93% lower than the exogenous value and adds up to 5 GW. They are preferably considered in combination with natural gas-fired CHP plants. Despite the significantly lower capacity, the use of electric boilers only decreases by 15% or 0.6 TWh. The heat production in CHP is slightly reduced by 2 TWh and compensated by the peak boilers. The other balancing options tend to benefit from the lower flexibility in heat generation; in absolute figures, the use of PSH (+60%, 1 TWh) is increasing in particular. In the Decentralized scenario, flexible heat generation plays a much more important role, which is also evident in the endogenous design of heat storages and electric boilers. The installed heat storage capacity is only 10% (30 GWh) lower than the endogenous value. However, it is distributed differently between the technologies, with smaller designs for biomass and biogas CHP and brine-water heat pumps, and larger designs for gas CHP and air-water heat pumps. The lower capacity of the heat storage tanks is compensated by additional electricity storage, including battery and hydrogen cavern storage, with a total capacity of 70 GWh and a converter capacity of 1 GW. Less than the capacity, the use of the heat storages is reduced by 3%, corresponding to 0.7 TWh. Analogous to the Import scenario, the endogenous design of the electric boilers yields significantly lower values than the exogenous specification. The total capacity amounts to 15 GW, which is 75% lower. However, this only reduces heat generation in the electric boiler by 11% or 1.5 TWh. Power generation, power storage use, RE curtailment, controlled BEV charging and DR are by less than 5% affected by the smaller design of the heat storages and electric boilers. If in the Decentralized scenario no hydrogen cavern storage may be built (NoH2Cavern), compensation is provided by additional gas power plants with a total capacity of about 4 GW (Fig. 14). The elimination of long-term storage also leads to an increase in the endogenous expansion of short-term storage, here represented by the batteries. With no long-term storage available curtailed RE power generation more than doubles to 40 TWh. In contrast, generation in gas-fired power plants increases by 20% to about 63 TWh and is accompanied by an increase in emissions. Due to the lower storage capacity, the amount of electricity stored decreases by about one third. A decline by about 10% is found for BEV charge control and

Fig. 16. CO2 emissions and variable system operation costs in the sensitivity runs. 13

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DR. In contrast, electrical heat generation in CHP systems increases by 30% with no change in thermal storage output. The reduced availability and optimized design of load balancing options in the sensitivity runs influences the CO2 emissions and variable operating costs of the system (Fig. 16). For the Import scenario, there is an increase in emissions and variable costs for all variants. This results consistently from an increased use of gas power plants. In the variants with optimized decentralized hydrogen infrastructure and flexible heat generation, savings in system costs of 0.5% and 3.9%, respectively, are achieved due to lower installed capacities. For the Decentralized scenario, a slight reduction in emissions and variable costs can be achieved by optimising the design of thermal storages and electric boilers. In all other variants, however, there are increases in both values. The savings in system costs due to the optimized design reach 1.4% for the decentralized hydrogen infrastructure and 2.4% for the flexible heat supply. Appendix B. Model fact sheet

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